Weak Solutions for the Compressible Navier-Stokes Equations with Density Dependent Viscosities

2018 ◽  
pp. 1547-1599 ◽  
Author(s):  
Didier Bresch ◽  
Benoît Desjardins
Keyword(s):  
Weak Solutions ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Density Dependent

DENSITY DEPENDENT STOCHASTIC NAVIER–STOKES EQUATIONS WITH NON-LIPSCHITZ RANDOM FORCING

2010 ◽  
Vol 22 (06) ◽  
pp. 669-697 ◽  
Author(s):  
MAMADOU SANGO
Keyword(s):  
Weak Solution ◽  
Weak Solutions ◽  
Stokes Equations ◽  
Initial Density ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Existence Of Weak Solutions ◽  
Density Dependent ◽  
Random Forcing ◽  
Suitable Notion

In this work, we investigate the question of existence of weak solutions to the density dependent stochastic Navier–Stokes equations. The noise considered contains functions which depend nonlinearly on the velocity and which do not satisfy the Lipschitz condition. Furthermore, the initial density is allowed to vanish. We introduce a suitable notion of probabilistic weak solution for the problem and prove its existence.

Sign in / Sign up

Export Citation Format

Share Document